80665 ÷ 8 = 10083 R1
Alright, let's work through the division of 80665 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 8

Step 2:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 0 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 8

Step 3:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 4:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1008
Subtract 64 from 66 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 8

Step 5:
8 goes into 25 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 10083
Subtract 24 from 25 to get 1.

The final result is 10083 with a remainder of 1.